Nonlinear dynamic response of functionally graded rectangular plates under different internal resonances(IWAE2008)

机译：功能梯度矩形板在不同内部共振下的非线性动力响应（IWAE2008）

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The nonlinear dynamic response of functionally graded (FGM) rectangular plates under combined transverse and in-plane excitations are investigated under the conditions of 1:1, 1:2 and 1:3 internal resonance. The material properties are assumed to be temperature-dependent and vary along the thickness direction. The thermal effect due to one-dimensional temperature gradient is included in the analysis. The governing equations of motion for FGM rectangular plates are derived by using Reddy's third-order plate theory and Hamilton's principle. The Galerkin's approach is utilized to reduce the governing differential equations to a two-degree-offreedom nonlinear system including quadratic and cubic nonlinear terms, which are then solved numerically by using 4-th order Runge-Kutta algorithm. The effects of in-plane excitations on the internal resonance relationship and nonlinear dynamic response of FGM plates are studied.

机译：在内部共振为1：1、1：2和1：3的条件下，研究了功能梯度（FGM）矩形板在横向和平面激励组合下的非线性动力响应。假定材料特性与温度有关，并且沿厚度方向变化。分析中包括由于一维温度梯度引起的热效应。利用Reddy的三阶板理论和汉密尔顿原理，推导了FGM矩形板的运动控制方程。 Galerkin方法将控制微分方程简化为包含二次和三次非线性项的两自由度非线性系统，然后使用四阶Runge-Kutta算法对其进行数值求解。研究了平面激励对FGM板内部共振关系和非线性动力响应的影响。

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来源
《2008 National Academic Symposium for Ph. D. Candidates and Tri-University Workshop on Aero-Structural Mechanics amp; Aerospace Engineering(NASPCTUWMAE2008)（2008年国际航天航空工程会议暨2008年博士生学术会议（力学））》|2008年|1-5|共5页
会议地点 Beijing(CN);Beijing(CN)
作者
Y.X.Hao; W.Zhang;
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作者单位

College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, P.R.China College of Mechanical Engineering, Beijing Information Science and Technology University, Beijing 100192, P.R.China;

College of Mechanical Engineering, Beijing University of Technology, Beijing 100022, P.R.China;

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中图分类航空、航天;
关键词
Functionally graded materials; Rectangular plate; Internal resonance; Nonlinear dynamic resonance resonance;

机译：功能梯度材料；矩形板；内部共振；非线性动态共振;

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专利

1. Nonlinear Dynamic Response of Functionally Graded Rectangular Plates under Different Internal Resonances [J] . Y. X. Hao, W. Zhang, X. L. Ji Mathematical Problems in Engineering . 2010,第SPECa期

机译：不同内部共振作用下功能梯度矩形板的非线性动力响应
2. Nonlinear Dynamic Response of Functionally Graded Rectangular Plates under Different Internal Resonances [J] . Y. X.Hao, W.Zhang, X. L.Ji Mathematical Problems in Engineering: Theory, Methods and Applications . 2010,第5期

机译：不同内部共振作用下功能梯度矩形板的非线性动力响应
3. Multi-pulse Chaotic Dynamics of a Functionally Graded Material Rectangular Plate with One-to-One Internal Resonance [J] . Shuang-Bao Li, Wei Zhang, Yu-Xin Hao International journal of nonlinear sciences and numerical simulation . 2010,第5期

机译：具有一对一内部共振的功能梯度材料矩形板的多脉冲混沌动力学
4. Nonlinear dynamic response of functionally graded rectangular plates under different internal resonances(IWAE2008) [C] . Tri-university workshop on aero-structural mechanics aerospace engineering . 2008

机译：不同内部共振下功能渐变矩形板的非线性动力响应（IWAE2008）
5. Nonlinearity of the hemodynamic response in functional magnetic resonance imaging(fMRI). [D] . Soltysik, David A. 2003

机译：功能磁共振成像（fMRI）中血液动力学反应的非线性。
6. A widespread internal resonance phenomenon in functionally graded material plates with longitudinal speed [O] . Y. F. Zhang, J. T. Liu -1

机译：具有纵向速度的功能梯度材料板中广泛的内部共振现象
7. Nonlinear Dynamic Response of Functionally Graded Rectangular Plates under Different Internal Resonances [O] . Y. X. Hao, W. Zhang, X. L. Ji 2010

机译：不同内部共振下功能梯度矩形板的非线性动力响应

Nonlinear dynamic response of functionally graded rectangular plates under different internal resonances(IWAE2008)

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